Swampland Conjectures for strings and membranes

A bstract Swampland criteria like the Weak Gravity Conjecture should not only apply to particles, but also other lower-codimension charged objects in 4d EFTs strings and membranes. However, description of latter is general subtle due their large backreaction effects. In context $$ \mathcal{N} N = 1 EFTs, we consider \frac{1}{2} 1 2 BPS membranes which are fundamental, sense that they cannot be resolved within EFT regime. We argue that, if interpreted from viewpoint, these translates into a classical RG flow couplings. Constraints on UV charges tensions get then translated constraints axionic kinetic terms scalar potential EFT. This uncovers new relations among Conjectures, become interconnected by physical properties low-codimension objects. particular, using string flows describe infinite field distance limits, show WGC for implies Distance Conjecture. Similarly, WGC-saturating generate satisfying de Sitter